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Finding the Fourth Proportional to 413,999.90, 620,234.40 and 235,978.10

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Solution

The fourth proportional to 413,999.90, 620,234.40 and 235,978.10 is: 353,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.90 : 620,234.40 = 235,978.10 : x
  2. Step 2: Convert to fraction form
    413,999.90/620,234.40 = 235,978.10/x
  3. Step 3: Cross multiply
    413,999.90x = 620,234.40 × 235,978.10
  4. Step 4: Simplify right side
    413,999.90x = 146,361,735,266.64
  5. Step 5: Solve for x
    x = 146,361,735,266.64/413,999.90
  6. Step 6: Final answer
    x = 353,530.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.